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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2017, Volume 14, Pages 518–527
DOI: https://doi.org/10.17377/semi.2017.14.042 (Mi semr802) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Computational mathematics

Mathematical modeling rarefied gas flow in a rectangular channel with an inner cylindrical element

O. V. Germider, V. N. Popov

Northern Arctic Federal University named after M. V. Lomonosov, Severnaya Dvina Emb., 4, 163002, Arkhangelsk, Russia
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DOI: https://doi.org/10.17377/semi.2017.14.042
Abstract: The article proposes method of solving the problem of heat and mass transfer in a long rectangular channel with an inner cylindrical element. A rarefied gas flow trough cross section is studied on the basis of kinetic equation in the free molecular. Diffuse reflection model for the boundary condition at the channel walls is used. The expression for the mass flux is obtained as a linear function of a pressure gradient supported in the channel.
Keywords: model of diffuse reflection, kinetic equation, free molecular regime.
Funding agency Grant number
Russian Foundation for Basic Research 16-29-15116_офи_м
Received March 14, 2017, published May 25, 2017
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 35Q20
Language: Russian
Citation: O. V. Germider, V. N. Popov, “Mathematical modeling rarefied gas flow in a rectangular channel with an inner cylindrical element”, Sib. Èlektron. Mat. Izv., 14 (2017), 518–527
Citation in format AMSBIB
\Bibitem{GerPop17}
\by O.~V.~Germider, V.~N.~Popov
\paper Mathematical modeling rarefied gas flow in a rectangular channel with an inner cylindrical element
\jour Sib. \`Elektron. Mat. Izv.
\yr 2017
\vol 14
\pages 518--527
\mathnet{http://mi.mathnet.ru/semr802}
\crossref{https://doi.org/10.17377/semi.2017.14.042}
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